Search a number
-
+
12257067821 is a prime number
BaseRepresentation
bin10110110101001010…
…00000001100101101
31011122012211120002212
423122211000030231
5200100302132241
65344131300205
7612512233415
oct133245001455
934565746085
1012257067821
11521a882519
122460a4a665
1312044b026b
14843c17645
154bb0edbeb
hex2da94032d

12257067821 has 2 divisors, whose sum is σ = 12257067822. Its totient is φ = 12257067820.

The previous prime is 12257067799. The next prime is 12257067833. The reversal of 12257067821 is 12876075221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12252276100 + 4791721 = 110690^2 + 2189^2 .

It is a cyclic number.

It is not a de Polignac number, because 12257067821 - 218 = 12256805677 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12257067721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6128533910 + 6128533911.

It is an arithmetic number, because the mean of its divisors is an integer number (6128533911).

Almost surely, 212257067821 is an apocalyptic number.

It is an amenable number.

12257067821 is a deficient number, since it is larger than the sum of its proper divisors (1).

12257067821 is an equidigital number, since it uses as much as digits as its factorization.

12257067821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 94080, while the sum is 41.

The spelling of 12257067821 in words is "twelve billion, two hundred fifty-seven million, sixty-seven thousand, eight hundred twenty-one".